3p-3(6-2p)=4(p-2)-20

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Solution for 3p-3(6-2p)=4(p-2)-20 equation:


Simplifying
3p + -3(6 + -2p) = 4(p + -2) + -20
3p + (6 * -3 + -2p * -3) = 4(p + -2) + -20
3p + (-18 + 6p) = 4(p + -2) + -20

Reorder the terms:
-18 + 3p + 6p = 4(p + -2) + -20

Combine like terms: 3p + 6p = 9p
-18 + 9p = 4(p + -2) + -20

Reorder the terms:
-18 + 9p = 4(-2 + p) + -20
-18 + 9p = (-2 * 4 + p * 4) + -20
-18 + 9p = (-8 + 4p) + -20

Reorder the terms:
-18 + 9p = -8 + -20 + 4p

Combine like terms: -8 + -20 = -28
-18 + 9p = -28 + 4p

Solving
-18 + 9p = -28 + 4p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-4p' to each side of the equation.
-18 + 9p + -4p = -28 + 4p + -4p

Combine like terms: 9p + -4p = 5p
-18 + 5p = -28 + 4p + -4p

Combine like terms: 4p + -4p = 0
-18 + 5p = -28 + 0
-18 + 5p = -28

Add '18' to each side of the equation.
-18 + 18 + 5p = -28 + 18

Combine like terms: -18 + 18 = 0
0 + 5p = -28 + 18
5p = -28 + 18

Combine like terms: -28 + 18 = -10
5p = -10

Divide each side by '5'.
p = -2

Simplifying
p = -2

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